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Finding the Fourth Proportional to 438.51, 657.72 and 275.70

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Solution

The fourth proportional to 438.51, 657.72 and 275.70 is: 413.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.51 : 657.72 = 275.70 : x
  2. Step 2: Convert to fraction form
    438.51/657.72 = 275.70/x
  3. Step 3: Cross multiply
    438.51x = 657.72 × 275.70
  4. Step 4: Simplify right side
    438.51x = 181,333.40
  5. Step 5: Solve for x
    x = 181,333.40/438.51
  6. Step 6: Final answer
    x = 413.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.